| [1] | TOMPPO E, GSCHWANTNER T, LAWRENCE M, et al. National Forest Inventories: Pathways for Common Reporting [M]. New York: Springer, 2010: 23. |
| [2] | BROWN S L, LUGO A E. Aboveground biomass estimates for tropical moist forests of the Brazilian amazon [J]. Interciencia, 1992, 17(1): 8-18. |
| [3] | SCHROEDER P, BROWN S, MO Jiangming, et al. Biomass estimation for temperate broadleaf forests of the United States using inventory data [J]. For Sci, 1997, 43(3): 424-434. |
| [4] | BROWN S L, SCHROEDER P E. Spatial patterns of aboveground production and mortality of woody biomass for eastern U.S. forests [J]. Ecol Appl, 1999, 9(3): 968-980. |
| [5] | BROWN S L, SCHROEDER P E, KERN J S. Spatial distribution of biomass in forests of the eastern USA [J]. For Ecol Manage, 1999, 123(1): 81-90. |
| [6] | 方精云, 刘国华, 徐嵩岭.我国森林植被的生物量和净生产量[J].生态学报, 1996, 16(5):497-508. FANG Jingyun, LIU Guohua, XU Songling. Biomass and net production of forest vegetation in China [J]. Acta Ecol Sin, 1996, 16(5): 497-508. |
| [7] | FANG Jingyun, WANG G G, LIU Guohua, et al. Forest biomass of China: an estimation based on the biomass-volume relationship [J]. Ecol Appl, 1998, 8(4): 1084-1091. |
| [8] | FANG Jingyun, CHEN Anping, PENG Changhui, et al. Changes in forest biomass carbon storage in China between 1949 and 1998 [J]. Science, 2001, 292(5525): 2320-2322. |
| [9] | FANG Jingyun, OIKAWA T, KATO T, et al. Biomass carbon accumulation by Japan's forests from 1947-1995 [J]. Glob Biogeochem Cycl, 2005, 19(2). doi:10.1029/2004GB002253. |
| [10] | FANG Jingyun, WANG Zhangming. Forest biomass estimation at regional and global levels, with special reference to China's forest biomass [J]. Ecol Res, 2001, 16(3): 587-592. |
| [11] | FANG Jingyun, GUO Zhaodi, PIAO Shilong, et al. Terrestrial vegetation carbon sinks in China, 1981-2000 [J]. Sci China Ser D Earth Sci, 2007, 50(9): 1341-1350. |
| [12] | GREEN E J, ROESCH F A, SMITH A F M, et al. Bayesian estimation for the three-parameter Weibull distribution with tree diameter data [J]. Biometrics, 1994, 50(1): 254-269. |
| [13] | BULLOCK B P, BOONE E L. Deriving tree diameter distributions using Bayesian model averaging [J]. For Ecol Manage, 2007, 242(2/3): 127-132. |
| [14] | CLARK J S, WOLOSIN M, DIETZE M, et al. Tree growth inference and prediction from diameter censuses and ring widths [J]. Ecol Appl, 2007, 17(7): 1942-1953. |
| [15] | ZAPATACUARTAS M, SIERRA C A, ALLEMAN L. Probability distribution of allometric coefficients and Bayesian estimation of aboveground tree biomass [J]. For Ecol Manage, 2012, 277(4): 173-179. |
| [16] | ZHANG Xiongqing, DUAN Aiguo, ZHANG Jianguo. Tree biomass estimation of Chinese fir (Cunninghamia lanceolata) based on Bayesian method [J]. PLoS One, 2013, 8(11): e79868. doi: 10.1371/journal.pone.0079868. |
| [17] | 黄兴召, 陈东升, 孙晓梅, 等.基于异速参数概率分布的立木地上生物量估算[J].林业科学, 2014, 50(6):34-41. HUANG Xingzhao, CHEN Dongsheng, SUN Xiaomei, et al. Estimation of above-ground tree biomass based on probability distribution of allometric parameters [J]. Sci Silv Sin, 2014, 50(6): 34-41. |
| [18] | GELMAN A. Analysis of variance: why it is more important than ever [J]. Ann Stat, 2005, 33(1): 39-42. |
| [19] | GELMAN A, HILL J. Data Analysis Using Regression and Multilevel/Hierarchical Models [M]. New York: Cambridge University Press, 2007: 46. |
| [20] | KERY M. Introduction to WinBUGS for Ecologists: A Bayesian Approach to Regression, ANOVA, Mixed Models and Related Analyses [M]. Amsterdam: Elsevier, 2010. |
| [21] | 贾治邦, 张建龙, 汪绚, 等.中国森林资源报告:第7次全国森林资源清查[M].北京:中国林业出版社, 2014:52-89. |
| [22] | BAAYEN R H, DAVIDSON D J, BATES D M. Mixed-effects modeling with crossed random effects for subjects and items [J]. J Mem Lang, 2008, 59(4): 390-412. |
| [23] | GILKS W R, THOMAS A, SPIEGELHALTER D J. A language and program for complex Bayesian modeling [J]. J Roy Stat Soc, 1994, 43(1): 169-178. |
| [24] | FINLEY A O, BANERJEE S, CARLIN B P. An R Package for univariate and multivariatem hierarchical point-referenced spatial models [J]. J Stat Softw, 2007, 19(4): 1-24. |
| [25] | GREEN E J, STRAWDERMAN W E. A comparison of hierarchical Bayes and empirical Bayes methods with a forestry application [J]. For Sci, 1992, 38(2): 350-366. |
| [26] | BATES D M, WATTS D G. Non-linear regression analysis and its applications [J]. J Mark Res, 1988, 60: 856865. doi: 10.1002/9780470316757. |
| [27] | STURTZ S, LIGGES U, GELMAN A. R2WinBUGS: a package for running WinBUGS from R [J]. J Stat Softw, 2005, 12(3): 1-16. |
| [28] | 曾伟生. 全国立木生物量方程建模方法研究[D]. 北京: 中国林业科学研究院, 2011: 28-42. ZENG Weisheng. Methodology on Modeling of Single-Tree Biomass Equations for National Biomass Estimation in China [D]. Beijing: Chinese Academy of Forestry. 2011: 28-42. |
| [29] | 符利勇, 曾伟生, 唐守正.利用混合模型分析地域对国内马尾松生物量的影响[J].生态学报, 2011, 31(19):5797-5808. FU Liyong, ZENG Weisheng, TANG Shouzheng. Analysis the effect of region impacting on the biomass of domestic masson pine using mixed model [J]. Acta Ecol Sin, 2001, 31(19): 5797-5808. |
| [30] | CLARK J S, GELFAND A E. Hierarchical Modeling for the Environmental Sciences: Statistical Methods and Applications [M]. England: Oxford University Press, 2006: 135-142. |
| [31] | HADFIELD J D. MCMC methods for multi-response generalized linear mixed models: the MCMCglmm R package [J]. J Stat Softw, 2010, 33(2): 1-22. |
| [32] | BROOKS S P, GELMAN A. General methods for monitoring convergence of iterative simulations [J]. J Comput Graph Stat, 1998, 7(4): 434-455. |
| [33] | PAAP R. What are the advantages of MCMC based inference in latent variable models? [J]. Stat Neerland, 2002, 56(1): 2-22. |
| [34] | BOOTH J G, HOBERT J P. Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm [J]. J Roy Stat Soc Ser B Stat Methodol, 1999, 61(1): 265-285. |
| [35] | LELE S R. DENNIS B, LUTSCHER F. Data cloning: easy maximum likelihood estimation for complex ecological models using Bayesian Markov chain Monte Carlo methods [J]. Ecol Lett, 2007, 10(7): 551-563. |
| [36] | CHEN Dongsheng, HUANG Xingzhao, SUN Xiaomei, et al. A comparison of hierarchical and non-hierarchical Bayesian approaches for fitting Allometric larch (Larix spp.) biomass equations [J]. Forests, 2016, 7(1): 18. doi:10.3390/f7010018. |
| [37] | BARRIO-ANTA M, BALBOA-MURIAS M A, CASTEDO-DORADO F, et al. An ecoregional model for estimating volume, biomass and carbon pools in maritime pine stands in Galicia (northwestern Spain) [J]. For Ecol Manage, 2006, 223(1/3): 24-34. |